Date Added: Aug 2010
In this paper, the authors describe Cryptography by using Karatsuba multipliers and ASCII codes implementing through coordinate geometry for data encryption and decryption with its code in matlab. Elliptic curve cryptography is an asymmetric key cryptography. It includes public key generation on the elliptic curve and its declaration for data encryption and private key generation and its use in data decryption depended on the points on two dimensional elliptical curve. they also discuss the implementation of ECC on binary field. An overview of ECC implementation on two dimensional representation of ASCII codes with coordinate systems and data encryption through Elgamal Encryption technique has been discussed.